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2009-09-03
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		<h2>SPOJ Problem Set (classical)</h2>
		<h1>1025. Fashion Shows</h1>
		<h2>Problem code: FASHION</h2>
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<p align="justify">
</p><p>A fashion show rates participants according to their level of
hotness. Two different fashion shows were organized, one for men and
the other for women. A date for the third is yet to be decided ;) .</p>

<p>Now the results of both fashion shows are out. The participants of
both the fashion shows have decided to date each other, but as usual
they have difficuly in choosing their partners. The Maximum Match
dating serive (MMDS) comes to their rescue and matches them in such a
way that that maximizes the hotness bonds for all couples.</p>

<p>If a man has been rated at hotness level <tt>x</tt> and a women at hotness level <tt>y</tt>, the value of their hotness bond is <tt>x*y</tt>.</p>

<p>Both fashion shows contain <b>N</b> participants each. MMDS has done
its job and your job is to find the sum of hotness bonds for all the
couples that MMDS has proposed.</p>

<h3>Input</h3>
<p>The first line of the input contains an integer <b>t</b>, the number of test cases.  <b>t</b> test cases follow.</p>

<p>Each test case consists of 3 lines:</p>

<ul>
<li>The first line contains a single integer <b>N</b> (1 &lt;= <b>N</b> &lt;= 1000).</li>
<li>The second line contains <b>N</b> integers separated by single spaces denoting the hotness levels of the men.</li>
<li>The third line contains <b>N</b> integers separated by single spaces denoting the hotness levels of the women.</li>
</ul>

<p>All hotness ratings are on a scale of 0 to 10.</p>

<h3>Output</h3>
<p>For each test case output a single line containing a single integer
denoting the sum of the hotness bonds for all pairs that MMDS has
proposed.</p>

<h3>Example</h3>

<pre><b>Input:</b>
2
2
1 1
3 2
3
2 3 2
1 3 2

<b>Output:</b>
5
15
</pre>


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<tbody><tr><td>Added by:</td><td><a href="https://www.spoj.pl/users/kawigi">Matthew Reeder</a></td></tr>
<tr><td>Date:</td><td>2006-10-29</td></tr>
<tr><td>Time limit:</td><td>2s
</td></tr>
<tr><td>Source limit:</td><td>30000B</td></tr>
<tr><td>Languages:</td><td>All </td></tr>
<tr><td>Resource:</td><td>Al-Khawarizm 2006</td></tr>
	
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		<font>
		2009-07-06 07:24:03 <b><a href="https://www.spoj.pl/users/bilblak">Bill Black</a></b> 
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								<br>
Although MMDS proposes couples, it in no way ensures that the couples
match up to produce a maximum hotness. Nay, such work is left up to the
programmer in a typical "oh, I thought I mentioned that to you
yesterday" style. :P </td>
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		<font>
		2009-04-16 17:20:09 <b><a href="https://www.spoj.pl/users/vdmedragon">~!(*(@*!@^&amp;</a></b> 
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								<br>
				More clarification : a[i] may not match with b[i].
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